U. U. Jamilov
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A family of non-Volterra quadratic operators corresponding to
permutations
cm:10135 -
Communications in Mathematics,
October 18, 2022,
Volume 31 (2023), Issue 1
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https://doi.org/10.46298/cm.10135A family of non-Volterra quadratic operators corresponding to
permutationsArticle
Authors: U. U. Jamilov
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U. U. Jamilov
In the present paper we consider a family of non-Volterra quadratic stochastic operators depending on a parameter $\alpha$ and study their trajectory behaviors. We find all fixed points for a non-Volterra quadratic stochastic operator on a finite-dimensional simplex. We construct some Lyapunov functions. A complete description of the set of limit points is given, and we show that such operators have the ergodic property.
Comment: 9 pages
Volume: Volume 31 (2023), Issue 1
Published on: October 18, 2022
Accepted on: October 12, 2022
Submitted on: October 12, 2022
Keywords: Mathematics - Dynamical Systems, 37N25, 92D10